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Finding the Third Proportional to 226,081.13 and 475,429.50

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Solution

The third proportional to 226,081.13 and 475,429.50 is: 999,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,081.13 : 475,429.50 = 475,429.50 : x
  2. Step 2: Convert to fraction form
    226,081.13/475,429.50 = 475,429.50/x
  3. Step 3: Cross multiply
    226,081.13x = 475,429.50 × 475,429.50
  4. Step 4: Simplify right side
    226,081.13x = 226,033,209,470.25
  5. Step 5: Solve for x
    x = 226,033,209,470.25/226,081.13
  6. Step 6: Final answer
    x = 999,788.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.